415140625 has 21 divisors (see below), whose sum is σ = 522122223. Its totient is φ = 330075000.

The previous prime is 415140617. The next prime is 415140631. The reversal of 415140625 is 526041514.

The square root of 415140625 is 20375.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 363703041 + 51437584 = 19071^2 + 7172^2 .

It is not a de Polignac number, because 415140625 - 2³ = 415140617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 415140593 and 415140602.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2546794 + ... + 2546956.

It is an arithmetic number, because the mean of its divisors is an integer number (24862963).

Almost surely, 2^415140625 is an apocalyptic number.

415140625 is the 20375-th square number.

415140625 is the 10188-th centered octagonal number.

It is an amenable number.

415140625 is a deficient number, since it is larger than the sum of its proper divisors (106981598).

415140625 is an frugal number, since it uses more digits than its factorization.

415140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The cubic root of 415140625 is about 745.9878342334.

The spelling of 415140625 in words is "four hundred fifteen million, one hundred forty thousand, six hundred twenty-five".